Templated 3D symmetric tensor derived from VectorSpace adding construction from 6 components, element access using xx(), xy() etc. member functions and the inner-product (dot-product) and outer-product of two Vectors (tensor-product) operators. More...


Public Types | |
| enum | components { XX , XY , XZ , YY , YZ , ZZ } |
| Component labeling enumeration. More... | |
| typedef SymmTensor< label > | labelType |
| Equivalent type of labels used for valid component indexing. More... | |
Public Types inherited from VectorSpace< SymmTensor< Cmpt >, Cmpt, 6 > | |
| typedef VectorSpace< SymmTensor< Cmpt >, Cmpt, Ncmpts > | vsType |
| VectorSpace type. More... | |
| typedef Cmpt | cmptType |
| Component type. More... | |
Public Member Functions | |
| SymmTensor () | |
| Construct null. More... | |
| SymmTensor (const Foam::zero) | |
| Construct initialised to zero. More... | |
| template<class Cmpt2 > | |
| SymmTensor (const VectorSpace< SymmTensor< Cmpt2 >, Cmpt2, 6 > &) | |
| Construct given VectorSpace of the same rank. More... | |
| SymmTensor (const SphericalTensor< Cmpt > &) | |
| Construct given SphericalTensor. More... | |
| SymmTensor (const Cmpt txx, const Cmpt txy, const Cmpt txz, const Cmpt tyy, const Cmpt tyz, const Cmpt tzz) | |
| Construct given the six components. More... | |
| SymmTensor (Istream &) | |
| Construct from Istream. More... | |
| const Cmpt & | xx () const |
| const Cmpt & | xy () const |
| const Cmpt & | xz () const |
| const Cmpt & | yx () const |
| const Cmpt & | yy () const |
| const Cmpt & | yz () const |
| const Cmpt & | zx () const |
| const Cmpt & | zy () const |
| const Cmpt & | zz () const |
| Cmpt & | xx () |
| Cmpt & | xy () |
| Cmpt & | xz () |
| Cmpt & | yy () |
| Cmpt & | yz () |
| Cmpt & | zz () |
| const SymmTensor< Cmpt > & | T () const |
| Transpose. More... | |
| void | operator= (const SphericalTensor< Cmpt > &) |
| Assign to given SphericalTensor. More... | |
Public Member Functions inherited from VectorSpace< SymmTensor< Cmpt >, Cmpt, 6 > | |
| VectorSpace () | |
| Construct null. More... | |
| VectorSpace (const Foam::zero) | |
| Construct initialised to zero. More... | |
| VectorSpace (Istream &) | |
| Construct from Istream. More... | |
| VectorSpace (const VectorSpace< Form2, Cmpt2, Ncmpts > &) | |
| Construct as copy of a VectorSpace with the same size. More... | |
| const Cmpt & | component (const direction) const |
| Cmpt & | component (const direction) |
| void | component (Cmpt &, const direction) const |
| void | replace (const direction, const Cmpt &) |
| const ConstBlock< SubVector, BStart > | block () const |
| const VectorSpace< SymmTensor< Cmpt >, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart > | block () const |
| const Cmpt & | operator[] (const direction) const |
| Cmpt & | operator[] (const direction) |
| void | operator+= (const VectorSpace< SymmTensor< Cmpt >, Cmpt, Ncmpts > &) |
| void | operator-= (const VectorSpace< SymmTensor< Cmpt >, Cmpt, Ncmpts > &) |
| void | operator= (const Foam::zero) |
| void | operator*= (const Type) |
| void | operator/= (const Type) |
Static Public Attributes | |
| static const direction | rank = 2 |
| Rank of SymmTensor is 2. More... | |
| static const SymmTensor | I |
Static Public Attributes inherited from VectorSpace< SymmTensor< Cmpt >, Cmpt, 6 > | |
| static const direction | dim |
| Dimensionality of space. More... | |
| static const direction | nComponents |
| Number of components in this vector space. More... | |
| static const direction | mRows |
| static const direction | nCols |
| static const char *const | typeName |
| static const char *const | componentNames [] |
| static const SymmTensor< Cmpt > | zero |
| static const SymmTensor< Cmpt > | one |
| static const SymmTensor< Cmpt > | max |
| static const SymmTensor< Cmpt > | min |
| static const SymmTensor< Cmpt > | rootMax |
| static const SymmTensor< Cmpt > | rootMin |
| static const SymmTensor< Cmpt > | nan |
Additional Inherited Members | |
Static Public Member Functions inherited from VectorSpace< SymmTensor< Cmpt >, Cmpt, 6 > | |
| static direction | size () |
| Return the number of elements in the VectorSpace = Ncmpts. More... | |
| static SymmTensor< Cmpt > | uniform (const Cmpt &s) |
| Return a VectorSpace with all elements = s. More... | |
Public Attributes inherited from VectorSpace< SymmTensor< Cmpt >, Cmpt, 6 > | |
| Cmpt | v_ [Ncmpts] |
| The components of this vector space. More... | |
Templated 3D symmetric tensor derived from VectorSpace adding construction from 6 components, element access using xx(), xy() etc. member functions and the inner-product (dot-product) and outer-product of two Vectors (tensor-product) operators.
Definition at line 53 of file SymmTensor.H.
| typedef SymmTensor<label> labelType |
Equivalent type of labels used for valid component indexing.
Definition at line 61 of file SymmTensor.H.
| enum components |
Component labeling enumeration.
| Enumerator | |
|---|---|
| XX | |
| XY | |
| XZ | |
| YY | |
| YZ | |
| ZZ | |
Definition at line 76 of file SymmTensor.H.
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Construct null.
Definition at line 32 of file SymmTensorI.H.
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Construct initialised to zero.
Definition at line 37 of file SymmTensorI.H.
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Construct given VectorSpace of the same rank.
Definition at line 45 of file SymmTensorI.H.
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Construct given SphericalTensor.
Definition at line 55 of file SymmTensorI.H.
References SphericalTensor< Cmpt >::ii().

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Construct given the six components.
Definition at line 64 of file SymmTensorI.H.
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Construct from Istream.
Definition at line 78 of file SymmTensorI.H.
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Definition at line 87 of file SymmTensorI.H.
Referenced by Foam::meshCheck::cellDeterminant(), Foam::cof(), Foam::det(), Foam::diag(), Foam::eigenValues(), Foam::innerSqr(), Foam::inv(), Foam::invariantII(), Foam::magSqr(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Tensor< Cmpt >::operator=(), Tensor< Cmpt >::Tensor(), Foam::tr(), and Foam::transform().

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Definition at line 93 of file SymmTensorI.H.
Referenced by Foam::cof(), Foam::det(), Foam::eigenValues(), Foam::innerSqr(), Foam::inv(), Foam::invariantII(), Foam::magSqr(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), Tensor< Cmpt >::operator=(), Tensor< Cmpt >::Tensor(), and Foam::transform().

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Definition at line 99 of file SymmTensorI.H.
Referenced by Foam::cof(), Foam::det(), Foam::eigenValues(), Foam::innerSqr(), Foam::inv(), Foam::invariantII(), Foam::magSqr(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), Tensor< Cmpt >::operator=(), Tensor< Cmpt >::Tensor(), and Foam::transform().

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Definition at line 105 of file SymmTensorI.H.
Referenced by Foam::eigenValues().

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Definition at line 111 of file SymmTensorI.H.
Referenced by Foam::meshCheck::cellDeterminant(), Foam::cof(), Foam::det(), Foam::diag(), Foam::eigenValues(), Foam::innerSqr(), Foam::inv(), Foam::invariantII(), Foam::magSqr(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Tensor< Cmpt >::operator=(), Tensor< Cmpt >::Tensor(), Foam::tr(), and Foam::transform().

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Definition at line 117 of file SymmTensorI.H.
Referenced by Foam::cof(), Foam::det(), Foam::eigenValues(), Foam::innerSqr(), Foam::inv(), Foam::invariantII(), Foam::magSqr(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), Tensor< Cmpt >::operator=(), Tensor< Cmpt >::Tensor(), and Foam::transform().

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Definition at line 123 of file SymmTensorI.H.
Referenced by Foam::eigenValues().

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Definition at line 129 of file SymmTensorI.H.
Referenced by Foam::eigenValues().

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Definition at line 135 of file SymmTensorI.H.
Referenced by Foam::meshCheck::cellDeterminant(), Foam::cof(), Foam::det(), Foam::diag(), Foam::eigenValues(), Foam::innerSqr(), Foam::inv(), Foam::invariantII(), Foam::magSqr(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), Tensor< Cmpt >::operator=(), Tensor< Cmpt >::Tensor(), Foam::tr(), and Foam::transform().

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Definition at line 142 of file SymmTensorI.H.
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Definition at line 148 of file SymmTensorI.H.
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Definition at line 154 of file SymmTensorI.H.
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Definition at line 160 of file SymmTensorI.H.
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Definition at line 166 of file SymmTensorI.H.
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Definition at line 172 of file SymmTensorI.H.
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Transpose.
Definition at line 179 of file SymmTensorI.H.
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Assign to given SphericalTensor.
Definition at line 188 of file SymmTensorI.H.
References SphericalTensor< Cmpt >::ii().

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Rank of SymmTensor is 2.
Definition at line 67 of file SymmTensor.H.
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Definition at line 72 of file SymmTensor.H.